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434034204240 = 243571319873361
BaseRepresentation
bin1100101000011100111…
…01000101111001010000
31112111022120221002012210
412110032131011321100
524102400224013430
6531220443152120
743233525602160
oct6241635057120
91474276832183
10434034204240
11158088aa181a
1270151215640
1331c1073c630
14170163065a0
15b4547a22b0
hex650e745e50

434034204240 has 160 divisors (see below), whose sum is σ = 1656007508736. Its totient is φ = 91576442880.

The previous prime is 434034204221. The next prime is 434034204343. The reversal of 434034204240 is 42402430434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 434034204198 and 434034204207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9914841 + ... + 9958520.

Almost surely, 2434034204240 is an apocalyptic number.

434034204240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434034204240 is an abundant number, since it is smaller than the sum of its proper divisors (1221973304496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434034204240 is a wasteful number, since it uses less digits than its factorization.

434034204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19873397 (or 19873391 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 434034204240 its reverse (42402430434), we get a palindrome (476436634674).

The spelling of 434034204240 in words is "four hundred thirty-four billion, thirty-four million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 21840 19873361 39746722 59620083 79493444 99366805 119240166 139113527 158986888 198733610 238480332 258353693 278227054 298100415 317973776 397467220 417340581 476960664 516707386 556454108 596200830 695567635 775061079 794934440 834681162 953921328 1033414772 1112908216 1192401660 1291768465 1391135270 1550122158 1589868880 1669362324 1808475851 2066829544 2086702905 2225816432 2384803320 2583536930 2782270540 3100244316 3338724648 3616951702 3875305395 4133659088 4173405810 4769606640 5167073860 5425427553 5564541080 6200488632 6677449296 7233903404 7750610790 8346811620 9042379255 10334147720 10850855106 11129082160 12400977264 14467806808 15501221580 16693623240 18084758510 20668295440 21701710212 27127137765 28935613616 31002443160 33387246480 36169517020 43403420424 54254275530 62004886320 72339034040 86806840848 108508551060 144678068080 217017102120 434034204240